Are we permitted to kill innocent people because they fathers or relatives kills us?

This is a narrow question that incorrect response to it will guide everyone to TERROR!

Either Osama-Bin-Ladan or George W Bush.

This is the Quran response to this question:

[Quran 5:8]

… Do not be provoked by your conflicts with some people into committing injustice. You shall be absolutely equitable, for it is more righteous. You shall observe GOD. GOD is fully Cognizant of everything you do.

O people, we created you from male and female, and rendered you distinct peoples and tribes, that you may recognize one another. The best among you in the sight of GOD is the most righteous. GOD is Omniscient, Cognizant.